CN114662334A - Optimal pairing method for digital preassembly of top cover and bottom ring of water pump turbine - Google Patents

Optimal pairing method for digital preassembly of top cover and bottom ring of water pump turbine Download PDF

Info

Publication number
CN114662334A
CN114662334A CN202210372264.4A CN202210372264A CN114662334A CN 114662334 A CN114662334 A CN 114662334A CN 202210372264 A CN202210372264 A CN 202210372264A CN 114662334 A CN114662334 A CN 114662334A
Authority
CN
China
Prior art keywords
top cover
guide vane
bottom ring
vane shaft
shaft hole
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202210372264.4A
Other languages
Chinese (zh)
Other versions
CN114662334B (en
Inventor
杜芝鹏
吴建杰
李浩亮
刘念
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Dongfang Electric Machinery Co Ltd DEC
Original Assignee
Dongfang Electric Machinery Co Ltd DEC
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Dongfang Electric Machinery Co Ltd DEC filed Critical Dongfang Electric Machinery Co Ltd DEC
Priority to CN202210372264.4A priority Critical patent/CN114662334B/en
Publication of CN114662334A publication Critical patent/CN114662334A/en
Application granted granted Critical
Publication of CN114662334B publication Critical patent/CN114662334B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/18—Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00—Energy generation through renewable energy sources
    • Y02E10/20—Hydro energy

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Data Mining & Analysis (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • General Engineering & Computer Science (AREA)
  • Evolutionary Biology (AREA)
  • Computer Hardware Design (AREA)
  • Bioinformatics & Computational Biology (AREA)
  • Bioinformatics & Cheminformatics (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Operations Research (AREA)
  • Probability & Statistics with Applications (AREA)
  • Evolutionary Computation (AREA)
  • Algebra (AREA)
  • Geometry (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • Hydraulic Turbines (AREA)

Abstract

The invention discloses an optimal pairing method for digital preassembly of a top cover and a bottom ring of a pump turbine, which belongs to the field of water turbine manufacturing and comprises the following steps: s1, obtaining basic data; s2, explaining and defining the optimal pairing relationship of top cover and bottom ring digital preassembly; s3, calculating the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole; s4, calculating the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole; s5, calculating the concentricity values of the leak-stopping ring and all the guide vane shaft holes; and S6, adjusting the position between the top cover and the bottom ring through two steps of rotation optimization and translation optimization. The invention fills the industry blank of the optimal matching method between the top cover and the bottom ring of the core component in the water mechanism, and provides an important technical foundation and key support for the digital preassembly judgment of the assembly quality of the water distributor of the water pump turbine.

Description

Optimal pairing method for digital preassembly of top cover and bottom ring of water pump turbine
Technical Field
The invention relates to the field of water turbine manufacturing, in particular to an optimal pairing method for digital preassembly of a top cover and a bottom ring of a water pump and water turbine.
Background
The water distributor of the pump turbine comprises a top cover, a bottom ring, a movable guide vane and other parts, and all the parts forming the water distributor need to be checked and verified whether the assembly quality meets the design requirements or not in a factory through preassembly after manufacturing and processing. At present, the preassembly of the water distributor in a factory is basically carried out in a real object preassembly mode. Wherein, the bottom ring, the movable guide vane, the top cover and other parts which form the water guide are stacked together according to the sequence of assembly. The assembling quality of the preassembled water distributor is restrained by the pairing relation among all parts on one hand, and the positions of part of the parts can be adjusted by an external force application mode on the other hand, so that the optimal assembling relation of the water distributor is obtained, and the preassembly inspection and the factory acceptance of the water distributor are completed.
With the development of advanced manufacturing technology, especially advanced measurement technology and reverse engineering technology, in order to meet the requirements of green and low-carbon manufacturing and achieve the purposes of cost reduction and efficiency improvement, a new manufacturing mode is gradually realized in which after the parts of the water guide mechanism of the water pump turbine are manufactured, digital pre-installation is realized through reverse measurement to replace real pre-installation to carry out factory acceptance. Different from the certainty and intuition of the position relation of each part after the physical pre-installation, the digital pre-installation can obtain the acceptance effect which is equal to the physical pre-installation only after the assembly constraint relation and the optimal matching relation in the water distributor are refined and a corresponding mathematical model is formed. At present, the digital preassembly of the water distributor of the pump turbine belongs to the leading-edge technology of the industry, and a mature application method and experience are not formed yet. Therefore, the optimal matching method between the top cover and the bottom ring of the core component in the water distributor is blank.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, provides an optimal matching method for digital pre-installation of a top cover and a bottom ring of a water pump turbine, fills the industry blank of the optimal matching method between the top cover and the bottom ring of a core component in a water mechanism, and provides an important technical basis and key support for judging the assembly quality of the water guide mechanism of the water pump turbine through digital pre-installation.
The purpose of the invention is realized by the following scheme:
an optimal pairing method for digital preassembly of a water pump turbine top cover bottom ring comprises the following steps:
s1, reversely measuring the planes and the cylindrical surfaces of the top cover and the bottom ring related to the judgment of the preassembly quality to obtain original measured data; then, calculating the measurement data to obtain basic data for pairing calculation;
s2, explaining and defining the optimal pairing relation of digital preassembly of the top cover and the bottom ring;
s3, using the projection center coordinate C of the leak-stopping ring of the bottom ringZ1(XZ1,YZ1,ZZ1) As the origin of coordinates, the center coordinates C of the projection circle of the leakage-stopping ringZ1(XZ1,YZ1,ZZ1) Circle center coordinate C projected with bottom ring 1# guide vane shaft holeX1(XX1,YX1,ZX1) The connecting line of the guide vane shaft hole is in the direction of + X axis, and the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole is calculated;
s4, using the center coordinate C of the leakage-stopping ring projection of the top coverZ2(XZ2,YZ2,ZZ2) As the origin of coordinates, the center coordinates C of the projection circle of the leakage-stopping ringZ2(XZ2,YZ2,ZZ2) Circle center coordinate C projected with top cover 1# guide vane shaft holeS1(XS1,YS1,ZS1) The connecting line of the guide vane shaft hole is in the direction of + X axis, and the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole is calculated;
s5, superposing the projected circle center coordinates of the top cover and the bottom ring and the projected circle center coordinates of the corresponding No. 1 guide vane shaft hole in the step S3 and the step S4, and taking the superposed coordinates as the initial pairing position relationship after the top cover and the bottom ring are subjected to digital pre-installation, thereby calculating the concentricity values of the leakage-stopping ring and all guide vane shaft holes in the state;
and S6, the position adjustment between the top cover and the bottom ring is realized through two steps of rotation optimization and translation optimization according to the optimal pairing relation of digital preassembly of the top cover and the bottom ring in the step S2.
Further, in step S1, the method includes the sub-steps of:
s11, according to the assembly constraint relation and the assembly quality inspection requirement of the water distributor, the cylindrical surface and the sealing opening plane of the leakage-stopping ring are measured in the reverse direction of the bottom ring and the top coverActually measuring the cylindrical surface of the shaft hole with the guide vane; assuming that the number of shaft holes of the guide vanes of the top cover and the bottom ring is N, wherein the number of effective measuring points of the cylindrical surface of the leakage-stopping ring, the sealing opening plane and the cylindrical surface of each guide vane shaft hole is N, the real measuring point coordinates of the leakage-stopping ring are sequentially Q when the bottom ring is reversely measured11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) (ii) a The point coordinates of the bottom ring closed opening plane are S in sequence11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) (ii) a The coordinates of real measuring points of the bottom ring 1# guide vane shaft hole are P in sequence11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) (ii) a The coordinates of the 2# guide vane shaft hole actual measuring points are P in sequence21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) (ii) a And so on, the coordinates of the real measuring points of the Nth guide vane shaft hole are P in sequenceN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn) (ii) a Similarly, the real measuring point coordinates of the leakage-stopping rings are sequentially Q when the top cover is reversely measured21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) (ii) a The point coordinates of the top cover sealing opening plane are S in sequence21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) (ii) a The coordinates of actual measuring points of the top cover 1# guide vane shaft hole are T in sequence11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) (ii) a The coordinates of the actual measuring points of the 2# guide vane shaft hole are T in sequence21(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) (ii) a And so on, the coordinates of the actual measuring points of the Nth guide vane shaft hole are sequentially TN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn)；
S12, sealing the bottom ring to open the gear plane measuring point coordinate S11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) Fitting into a plane N1 by a least square method; coordinates S of measuring point of top cover sealing opening plane21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) Fitting into a plane N2 by a least square method;
s13, measuring the real measuring point coordinate Q of the leakage-stopping ring when the bottom ring is reversely measured11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CZ1(XZ1,YZ1,ZZ1) (ii) a Real measuring point coordinate Q of leakage-stopping ring during reverse measurement of top cover21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CZ2(XZ2,YZ2,ZZ2)；
S14, sequentially setting the coordinates P of the actual measuring points of the bottom ring 1# guide vane shaft hole11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CX1(XX1,YX1,ZX1) 2# guide vane shaft hole real measuring point coordinate P21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CX2(XX2,YX2,ZX2) And so on, the coordinate P of the actual measuring point of the shaft hole of the Nth guide vaneN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CXN(XXN,YXN,ZXN)；
S15, sequentially arranging the coordinates T of the actual measuring points of the guide vane shaft holes of the top cover 1#, and11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS1(XS1,YS1,ZS1) 2# guide vane shaft hole real measuring point coordinate T21(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS2(XS2,YS2,ZS2) In this orderAnalogize, the actual measurement point coordinate T of the Nth guide vane shaft holeN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CSN(XSN,YSN,ZSN)；
S16, arranging the basic data for digital pre-installation analysis after calculating the original measurement data of the bottom ring and the top cover in the steps S11-S14 as shown in the following table:
Figure BDA0003589261030000051
further, in step S2, the method includes the sub-steps of:
refining and summarizing the optimal matching relationship when the top cover and the bottom ring are pre-installed into the optimal comprehensive matching relationship of the corresponding guide vane shaft hole and the leakage stopping ring; according to the design requirements and the use working conditions of the water distributor, the comprehensive optimal matching relationship between the guide vane shaft holes and the leakage stopping rings is that the concentricity deviation value of the holes with the maximum concentricity deviation in all the guide vane shaft holes is minimized after position adjustment under the tolerance value of the concentricity of the leakage stopping rings of the top cover bottom ring; the adjustment here can only be moved in the guide vane closing and opening plane and does not allow the turning.
Further, in step S3, the method includes the sub-steps of:
s31, setting the distance between the center of the ith guide vane shaft hole of the bottom ring and the center of the leakage-stopping ring as riThen, there are:
Figure BDA0003589261030000052
s32, setting the chord length between the center of the ith-1 guide vane shaft hole and the center of the ith guide vane shaft hole in the bottom ring as liAnd the center of two adjacent shaft holes is alpha relative to the reference origin of the circle center of the leakage-stopping ringiThen, there are:
Figure BDA0003589261030000053
Figure BDA0003589261030000054
s33, it is found that the polar coordinate value (r) of the ith vane shaft hole center with respect to the origin of coordinatesi,γi) Comprises the following steps:
Figure BDA0003589261030000061
further, in step S4, the method includes the sub-steps of:
s41, setting the distance from the center of the ith guide vane shaft hole of the top cover to the center of the circle of the leakage stopping ring as RiThen, there are:
Figure BDA0003589261030000062
s42, setting the chord length between the center of the ith-1 st guide vane shaft hole and the center of the ith guide vane shaft hole in the top cover as LiAnd the center of two adjacent shaft holes is beta relative to the reference origin of the circle center of the leakage-stopping ringiThen, there are:
Figure BDA0003589261030000063
Figure BDA0003589261030000064
s43, it is found that the polar coordinate value (R) of the ith vane shaft hole center with respect to the origin of coordinates (the center coordinates of the projected circle center of the leakage stop ring)i,λi) Comprises the following steps:
Figure BDA0003589261030000065
further, in step S5, the method includes the sub-steps of:
s51, converting the projection circle center coordinates of each guide vane shaft hole of the middle bottom ring in the formula (4) into rectangular coordinate values, and then:
Figure BDA0003589261030000066
s52, converting the projection circle center coordinates of each guide vane shaft hole of the middle top cover in the formula (8) into rectangular coordinate values, and then:
Figure BDA0003589261030000071
s53, the concentricity of the leak-stopping ring after the top cover and the bottom ring are matched is 0, and the concentricity of the centers of the corresponding guide vane shaft holes is as follows:
Figure BDA0003589261030000072
in the above formula MiThe concentricity value refers to the concentricity value of the circle center of the ith guide vane shaft hole of the top cover bottom ring.
Further, in step S6, the method includes the sub-steps of:
s61, according to the expressions (4) and (8), in the case of the initial pairing of the top cover and the bottom ring in the step S5, the deviation of the polar angle value of each corresponding vane shaft hole center is set to be Δ θiThen, there are:
Δθi＝βi-αi (12)
setting the maximum value and the minimum value of the angle deviation values of the central polar coordinates of all the guide vane shaft holes calculated by the formula (12) as delta thetaMaxAnd Δ θMinThen, the angle δ for obtaining the rotation optimization of the top cover relative to the bottom ring is:
Figure BDA0003589261030000073
the concentricity value of the leak-stopping ring between the top cover and the bottom ring is still 0 at this moment, but the top cover has used the circle center of the leak-stopping ring as the center and has rotated the delta angle integrally, and the rectangular coordinate value of the circle center of each guide vane shaft hole of the top cover after the rotation is:
Figure BDA0003589261030000074
s62, assuming that after the rotation optimization of the top cover in the step S61, the corresponding deviations of the coordinates of the centers of the right angles of the centers of the right angles of the corresponding vane shaft holes of the bottom ring of the top cover are respectively delta XiAnd Δ YiThen, there are:
Figure BDA0003589261030000075
the maximum value and the minimum value of the rectangular coordinate deviation values of the centers of all the guide vane shaft holes calculated by the formula (15) are respectively delta XMax、ΔXMin、ΔYMax、ΔYMinThen, obtaining the ideal translation coordinate value for optimizing the translation of the top cover relative to the bottom ring:
Figure BDA0003589261030000081
s63, if the concentricity tolerance of the top cover bottom ring leak-stopping ring is epsilon, the ideal translation distance in the formula (16) is firstly judged whether the concentricity tolerance value of the leak-stopping ring is exceeded;
when in use
Figure BDA0003589261030000082
The concentricity of the leakage-stopping ring and the concentricity of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover and the bottom ring are subjected to digital preassembly are calculated as follows:
Figure BDA0003589261030000083
in the above formula, K' isConcentricity of the bottom ring of the top cover, KiThe concentricity value of each corresponding guide vane shaft hole of the top cover bottom ring at the moment is obtained;
when in use
Figure BDA0003589261030000084
When the top cover is translated relative to the bottom ring, the top cover cannot move according to ideal translation coordinates, and the concentricity of the leakage-stopping ring must also be considered to be not beyond an allowable difference value; in this case, the ideal translation direction angle is firstly calculated and determined
Figure BDA0003589261030000085
Figure BDA0003589261030000086
According to an ideal translation direction angle and considering the tolerance value of the leakage stopping ring, the real movable coordinate value of the top cover relative to the bottom ring is obtained as follows:
Figure BDA0003589261030000091
at this time, the concentricity of the leakage-stopping ring and the concentricity value of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover bottom ring is subjected to digital preassembly are calculated as follows:
Figure BDA0003589261030000092
further, in step S6, the optimal pairing relationship of the top cover and the bottom ring with digital pre-installation means that the positions of the top cover and the bottom ring are adjusted to achieve the goal of minimizing the maximum concentricity deviation in the vane shaft hole under the premise of allowing deviation of the concentricity of the leakage-stopping ring.
Further, in step S33, the origin of coordinates is the projected center coordinates of the leak-stopping ring.
The beneficial effects of the invention include:
the scheme of the invention fills the industrial blank of the optimal matching method between the top cover and the bottom ring of the core component in the water mechanism, and can provide important technical basis and key support for the digital pre-installation judgment of the assembly quality of the water distributor of the water pump turbine.
The embodiment of the invention is used for calculating and analyzing the optimal assembly relation of the top cover bottom ring in the water distributor of the water pump turbine during digital preassembly. Compared with the existing real object preassembly, the digital assembly can greatly reduce energy consumption and a compression assembly period, and meanwhile, a digital twin real model of each product can be obtained through reverse measurement.
The invention refines the optimal pairing relation when the top cover and the bottom ring of the core component in the water distributor of the water pump turbine are subjected to digital preassembly, forms a standardized calculation method, and can provide important technical basis and key support for judging the assembly quality of the water distributor of the water pump turbine by the digital preassembly.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
FIG. 1 is a schematic structural diagram of a bottom ring of a pump turbine;
FIG. 2 is a schematic structural diagram of a top cover of a pump turbine;
in the figure, 1-a bottom ring leakage-proof ring cylindrical surface, 2-a bottom ring guide vane sealing opening plane, 3-a bottom ring guide vane shaft hole cylindrical surface, 4-a top cover leakage-proof ring cylindrical surface, 5-a top cover guide vane sealing opening plane and 6-a top cover guide vane shaft hole cylindrical surface.
Detailed Description
All features disclosed in all embodiments in this specification, or all methods or process steps implicitly disclosed, may be combined and/or expanded, or substituted, in any way, except for mutually exclusive features and/or steps.
FIG. 1 shows a bottom ring structure of a water turbine of a water pump, which comprises a bottom ring leakage-stopping ring cylindrical surface 1, a bottom ring guide vane sealing opening plane 2 and a bottom ring guide vane shaft hole cylindrical surface 3; fig. 2 is a top cover structure of a pump turbine, which comprises a top cover leakage-stopping ring cylindrical surface 4, a top cover guide vane sealing opening plane 5 and a top cover guide vane shaft hole cylindrical surface 6. The embodiment of the invention aims to provide a calculation method for guiding the top cover and the bottom ring of core parts to perform optimal preassembly matching when digitalized preassembly is performed in a pump turbine distributor plant, so as to reach the same assembly acceptance conclusion as real object preassembly.
The method provided by the embodiment of the invention comprises the following steps in the specific implementation process:
step one, performing reverse measurement on planes and cylindrical surfaces related to subsequent preassembly quality judgment in the top cover and the bottom ring to obtain original measured data. And then, carrying out certain calculation processing on the measurement data to obtain basic data which can be used for next pairing calculation.
The specific process of the first step of the invention is as follows:
step 1, according to the assembly constraint relation and the assembly quality inspection requirement of the water distributor, when the bottom ring and the top cover are subjected to reverse measurement, the cylindrical surface of the leakage-stopping ring, the sealing opening plane and the cylindrical surfaces of all guide vane shaft holes need to be subjected to actual measurement, as shown in fig. 1 and 2. Assuming that the number of shaft holes of the guide vanes of the top cover and the bottom ring is N, wherein the number of effective measuring points of the cylindrical surface of the leakage-stopping ring, the sealing opening plane and the cylindrical surface of each guide vane shaft hole is N, the real measuring point coordinates of the leakage-stopping ring are sequentially Q when the bottom ring is reversely measured11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) (ii) a The point coordinates of the bottom ring closed opening plane are S in sequence11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) (ii) a The coordinates of real measuring points of the bottom ring 1# guide vane shaft hole are P in sequence11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) (ii) a The coordinates of the 2# guide vane shaft hole actual measuring points are P in sequence21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) (ii) a And so on, the coordinates of the real measuring points of the Nth guide vane shaft hole are P in sequenceN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn). Similarly, the real measuring point coordinates of the leakage-stopping rings are sequentially Q when the top cover is reversely measured21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) (ii) a The point coordinates of the top cover sealing opening plane are S in sequence21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) (ii) a The coordinates of actual measuring points of the top cover 1# guide vane shaft hole are T in sequence11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) (ii) a The coordinates of the actual measuring points of the 2# guide vane shaft hole are T in sequence21(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) (ii) a And so on, the coordinates of the actual measuring points of the Nth guide vane shaft hole are sequentially TN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn)。
Step 2, sealing the guide vanes of the bottom ring and opening the gear plane to measure the point coordinate S11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) Fitting into a plane N1 by a least square method; coordinate S of measuring point of top cover guide vane closed opening plane21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) Fitting to a plane N2 using a least squares method.
Step 3, coordinate Q of measuring point of bottom ring leakage-stopping cylindrical surface11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CZ1(XZ1,YZ1,ZZ1) (ii) a Setting the top cover leakage-proof ring cylinder surface measuring point Q21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CZ2(XZ2,YZ2,ZZ2)。
Step 4, sequentially enabling the coordinates P of the actual measuring points of the bottom ring 1# guide vane shaft hole11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CX1(XX1,YX1,ZX1) 2# guide vane shaft hole actual measurement point coordinate P21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) Projecting to N1 plane, fitting to form a circle by least square method to obtain the coordinate of center of circle CX2(XX2,YX2,ZX2) And so on, the coordinate P of the actual measuring point of the shaft hole of the Nth guide vaneN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CXN(XXN,YXN,ZXN)。
Step 5, sequentially enabling the coordinates T of the actual measuring points of the guide vane shaft holes of the top cover 1#, and11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS1(XS1,YS1,ZS1) 2# guide vane shaft hole real measuring point coordinate T21(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS2(XS2,YS2,ZS2) And so on, the real measuring point coordinate T of the Nth guide vane shaft holeN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn) Projecting to N2 plane, fitting to form a circle by least square method to obtain the coordinate of center of circle CSN(XSN,YSN,ZSN)。
And 6, arranging basic data used for subsequent digital preassembly analysis after calculating and processing the original measurement data of the bottom ring and the top cover as shown in the following table.
Figure BDA0003589261030000131
And step two, explaining and defining the optimal pairing relation of digital preassembly of the top cover and the bottom ring.
The specific process of the second step of the invention is as follows:
and 7, refining and concluding the optimal matching relationship when the top cover and the bottom ring are preassembled to obtain the optimal comprehensive matching relationship of the corresponding guide vane shaft hole and the leakage stopping ring. According to the design requirements and the use working conditions of the water distributor, the comprehensive optimal matching relation between the guide vane shaft holes and the leakage stopping rings is that the concentricity deviation value of the holes with the maximum concentricity deviation in all the guide vane shaft holes is minimized after position adjustment under the tolerance value of the concentricity of the leakage stopping rings of the top cover bottom ring. Here, the adjustment is only possible on the vane closing and opening plane, and does not allow the turning.
Step three, projecting circle center coordinates C by the leakage stopping ring of the bottom ringZ1(XZ1,YZ1,ZZ1) As the origin of coordinates, with the center coordinates C of the leakage-stopping projectionZ1(XZ1,YZ1,ZZ1) And 1# guide vane shaft hole projection circle center coordinate CX1(XX1,YX1,ZX1) The connecting line of (1) is in the direction of + X axis, and the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole is calculated.
The specific process of the third step of the invention is as follows:
step 8, setting the distance between the center of the ith guide vane shaft hole of the bottom ring and the circle center of the leakage stopping ring as riThen there is
Figure BDA0003589261030000132
Step 9, setting the chord length between the center of the ith-1 guide vane shaft hole and the center of the ith guide vane shaft hole in the bottom ring to be liAnd the center of two adjacent shaft holes is alpha relative to the reference origin of the circle center of the leakage-stopping ringiThen there is
Figure BDA0003589261030000133
Figure BDA0003589261030000141
Step 10, finding out the polar coordinate value (r) of the ith guide vane shaft hole center relative to the coordinate origin (the projected circle center coordinate of the leakage-stopping ring)i,γi) Is composed of
Figure BDA0003589261030000142
Step four, projecting circle center coordinates C by the leak-stopping ring of the top coverZ2(XZ2,YZ2,ZZ2) As the origin of coordinates, with the center coordinates C of the leakage-stopping projectionZ2(XZ2,YZ2,ZZ2) And 1# guide vane shaft hole projection circle center coordinate CS1(XS1,YS1,ZS1) The connecting line of (1) is in the direction of + X axis, and the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole is calculated.
The specific process of the fourth step of the invention is as follows:
step 11, setting the distance from the center of the ith guide vane shaft hole of the top cover to the circle center of the leakage stopping ring as RiThen there is
Figure BDA0003589261030000143
Step 12, setting the chord length between the center of the ith-1 guide vane shaft hole and the center of the ith guide vane shaft hole in the top cover to be LiAnd the center of two adjacent shaft holes is beta relative to the reference origin of the circle center of the leakage-stopping ringiThen there is
Figure BDA0003589261030000144
Figure BDA0003589261030000145
Step 13, finding out the polar coordinate value (R) of the ith guide vane shaft hole center relative to the coordinate origin (the center coordinate of the leakage-stopping ring projection circle)i,λi) Comprises the following steps:
Figure BDA0003589261030000146
and step five, superposing the projection circle center coordinates of the top cover and the bottom ring in the step three and the projection circle center coordinates of the corresponding No. 1 guide vane shaft hole, and taking the superposed projection circle center coordinates as the initial pairing position relationship after the top cover and the bottom ring are digitally pre-installed, thereby calculating the concentricity values of the leakage-stopping ring and all the guide vane shaft holes in the state.
The concrete process of the fifth step of the invention is as follows:
step 14, converting the projection circle center coordinates of each guide vane shaft hole of the middle bottom ring in the formula (4) into rectangular coordinate values
Figure BDA0003589261030000151
Step 15, converting the projection circle center coordinates of each guide vane shaft hole of the middle top cover in the formula (8) into rectangular coordinate values, wherein the rectangular coordinate values include
Figure BDA0003589261030000152
Step 16, after the top cover and the bottom ring are matched, the concentricity value of the leakage-stopping ring is 0, and the concentricity value of the centers of the corresponding guide vane shaft holes is 0
Figure BDA0003589261030000153
In the above formula MiThe concentricity value refers to the concentricity value of the circle center of the ith guide vane shaft hole of the top cover bottom ring.
And step six, the optimal pairing relation after the top cover and the bottom ring are subjected to digital preassembly is known from the step two, namely the position between the concentricity of the leakage-stopping ring and the bottom ring can be adjusted on the premise of allowing deviation so as to achieve the aim of minimizing the maximum value of the concentricity deviation in the guide vane shaft hole. The step of realizing the position adjustment between the top cover and the bottom ring can be divided into two steps of rotation optimizing and translation optimizing in sequence.
The concrete process of the sixth step of the invention is as follows:
step 17, according to the formulas (4) and (8), in the case of the initial pairing of the top cover and the bottom ring in the step five, the deviation of the polar coordinate angle value of the center of each corresponding guide vane shaft hole is set as delta thetaiThen there is
Δθi＝βi-αi (12)
Setting the maximum value and the minimum value of the angle deviation values of the central polar coordinates of all the guide vane shaft holes calculated by the formula (12) as delta thetaMaxAnd Δ θMinThen the angle delta at which the rotation of the top cover relative to the bottom ring can be optimized is
Figure BDA0003589261030000161
At the moment, the concentricity value of the leakage-stopping ring between the top cover and the bottom ring is still 0, but the top cover rotates by a delta angle by taking the circle center of the leakage-stopping ring as the center, and the rectangular coordinate value of the circle center of each guide vane shaft hole of the rotated top cover is
Figure BDA0003589261030000162
Step 18, assuming that after the top cover is rotated and optimized, the corresponding deviations of the coordinates of the centers of the right angles of the centers of the corresponding guide vane shafts of the bottom ring of the top cover are respectively delta XiAnd Δ YiThen there is
Figure BDA0003589261030000163
The maximum value and the minimum value of the rectangular coordinate deviation values of the centers of all the guide vane shaft holes calculated by the formula (15) are respectively delta XMax、ΔXMin、ΔYMax、ΔYMinThen, the ideal translation coordinate value for optimizing the translation of the top cover relative to the bottom ring can be obtained:
Figure BDA0003589261030000164
and step 19, setting the concentricity tolerance of the top cover and the bottom ring as epsilon, and judging whether the ideal translation distance in the formula (16) exceeds the concentricity tolerance value of the leakage-stopping ring or not.
When in use
Figure BDA0003589261030000171
The concentricity of the leak-stopping ring and the concentricity of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover bottom ring is subjected to digital preassembly can be calculated as follows:
Figure BDA0003589261030000172
in the above formula, K' is the concentricity value of the bottom ring of the top cover at this time, KiThe concentricity value of the guide vane shaft holes corresponding to the top cover bottom ring at the moment is shown.
When the temperature is higher than the set temperature
Figure BDA0003589261030000173
In the process, the top cover can not move according to ideal translation coordinates in translation relative to the bottom ring, and the concentricity of the leakage-stopping ring must also be considered to be not beyond the allowable difference. In this case, the ideal translation direction angle should be determined by calculation first
Figure BDA0003589261030000174
Figure BDA0003589261030000175
Therefore, according to the ideal translation direction angle and considering the allowance value of the leakage-stopping ring, the real movable coordinate value of the top cover relative to the bottom ring can be obtained as follows:
Figure BDA0003589261030000176
at this time, the concentricity of the leak-stopping ring and the concentricity value of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover bottom ring is digitally preassembled can be calculated as follows:
Figure BDA0003589261030000177
the method is used for calculating and analyzing the optimal assembly relation of the top cover and the bottom ring in the water guide mechanism of the water pump turbine when the top cover and the bottom ring are subjected to digital preassembly. Compared with the existing real object preassembly, the digital assembly can greatly reduce energy consumption and a compression assembly period, and meanwhile, a digital twin real model of each product can be obtained through reverse measurement.
At present, the digital preassembly technology still belongs to the leading-edge technology of exploration and research in the field of water turbine manufacturing, and is not fully applied and popularized. The invention refines the optimal pairing relation when the top cover and the bottom ring of the core component in the water distributor of the water pump turbine are subjected to digital preassembly, forms a standardized calculation method, and can provide important technical basis and key support for judging the assembly quality of the water distributor of the water pump turbine by the digital preassembly.
Example 1
An optimal pairing method for digital preassembly of a water pump turbine top cover bottom ring comprises the following steps:
s1, reversely measuring the planes and the cylindrical surfaces of the top cover and the bottom ring related to the judgment of the preassembly quality to obtain original measured data; then, calculating the measurement data to obtain basic data for pairing calculation;
s2, explaining and defining the optimal pairing relation of digital preassembly of the top cover and the bottom ring;
s3, using the projection center coordinate C of the leak-stopping ring of the bottom ringZ1(XZ1,YZ1,ZZ1) As the origin of coordinates, the center coordinates C of the projection circle of the leakage-stopping ringZ1(XZ1,YZ1,ZZ1) Circle center coordinate C projected with bottom ring 1# guide vane shaft holeX1(XX1,YX1,ZX1) The connecting line of (A) is in the direction of + X axis, and the shaft holes of all the guide vanes are calculatedProjecting a polar coordinate value of a circle center coordinate;
s4, using the center coordinate C of the leakage-stopping ring projection of the top coverZ2(XZ2,YZ2,ZZ2) As the origin of coordinates, the center coordinates C of the projection circle of the leakage-stopping ringZ2(XZ2,YZ2,ZZ2) Circle center coordinate C projected with top cover 1# guide vane shaft holeS1(XS1,YS1,ZS1) The connecting line of the guide vane shaft hole is in the direction of + X axis, and the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole is calculated;
s5, superposing the projected circle center coordinates of the top cover and the bottom ring and the projected circle center coordinates of the corresponding No. 1 guide vane shaft hole in the step S3 and the step S4, and taking the superposed coordinates as the initial pairing position relationship after the top cover and the bottom ring are subjected to digital pre-installation, thereby calculating the concentricity values of the leakage-stopping ring and all guide vane shaft holes in the state;
and S6, the position adjustment between the top cover and the bottom ring is realized through two steps of rotation optimization and translation optimization according to the optimal pairing relation of digital preassembly of the top cover and the bottom ring in the step S2.
Example 2
On the basis of embodiment 1, in step S1, the method includes the sub-steps of:
s11, according to the assembly constraint relation and the assembly quality inspection requirement of the water distributor, the cylindrical surface of the leakage-stopping ring, the sealing opening plane and the cylindrical surfaces of all the guide vane shaft holes are measured actually when the bottom ring and the top cover are measured reversely; assuming that the number of shaft holes of the guide vanes of the top cover and the bottom ring is N, wherein the number of effective measuring points of the cylindrical surface of the leakage-stopping ring, the sealing opening plane and the cylindrical surface of each guide vane shaft hole is N, the real measuring point coordinates of the leakage-stopping ring are sequentially Q when the bottom ring is reversely measured11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) (ii) a The point coordinates of the bottom ring closed opening plane are S in sequence11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) (ii) a The actual measurement point coordinates of the bottom ring 1# guide vane shaft hole are P in sequence11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) (ii) a The coordinates of the 2# guide vane shaft hole actual measuring points are P in sequence21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) (ii) a And so on, the coordinates of the real measuring points of the Nth guide vane shaft hole are P in sequenceN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn) (ii) a Similarly, the real measuring point coordinates of the leakage-stopping rings are sequentially Q when the top cover is reversely measured21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) (ii) a The point coordinates of the top cover sealing opening plane are S in sequence21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) (ii) a The coordinates of actual measuring points of the top cover 1# guide vane shaft hole are T in sequence11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) (ii) a The coordinates of the actual measuring points of the 2# guide vane shaft hole are T in sequence21(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) (ii) a And so on, the coordinates of the actual measuring points of the Nth guide vane shaft hole are sequentially TN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn)；
S12, sealing the bottom ring to open the gear plane measuring point coordinate S11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) Fitting into a plane N1 by a least square method; coordinates S of measuring point of top cover sealing opening plane21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) Fitting into a plane N2 by a least square method;
s13, measuring the real measuring point coordinate Q of the leakage-stopping ring when the bottom ring is reversely measured11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) Projecting to N1 plane, fitting to form a circle by least square method to obtain the coordinate of center of circle CZ1(XZ1,YZ1,ZZ1) (ii) a Real measuring point coordinate Q of leakage-stopping ring during reverse measurement of top cover21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CZ2(XZ2,YZ2,ZZ2)；
S14, sequentially setting the coordinates P of the actual measuring points of the bottom ring 1# guide vane shaft hole11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CX1(XX1,YX1,ZX1) 2# guide vane shaft hole real measuring point coordinate P21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) Projection is carried out on the N1 plane and then least squares are adoptedFitting into a circle by a method to obtain a coordinate of the center of the circle CX2(XX2,YX2,ZX2) And so on, the coordinate P of the actual measuring point of the shaft hole of the Nth guide vaneN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CXN(XXN,YXN,ZXN)；
S15, sequentially arranging the coordinates T of the actual measuring points of the guide vane shaft holes of the top cover 1#, and11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS1(XS1,YS1,ZS1) 2# guide vane shaft hole real measuring point coordinate T21(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS2(XS2,YS2,ZS2) And so on, the real measuring point coordinate T of the Nth guide vane shaft holeN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CSN(XSN,YSN,ZSN)；
S16, arranging the basic data for digital pre-installation analysis after calculating the original measurement data of the bottom ring and the top cover in the steps S11-S14 as shown in the following table:
Figure BDA0003589261030000211
example 3
On the basis of embodiment 1, in step S2, the method includes the sub-steps of:
refining and summarizing the optimal matching relationship when the top cover and the bottom ring are pre-installed into the optimal comprehensive matching relationship of the corresponding guide vane shaft hole and the leakage stopping ring; according to the design requirements and the use working conditions of the water distributor, the comprehensive optimal matching relationship between the guide vane shaft holes and the leakage stopping rings is that the concentricity deviation value of the holes with the maximum concentricity deviation in all the guide vane shaft holes is minimized after position adjustment under the tolerance value of the concentricity of the leakage stopping rings of the top cover bottom ring; the adjustment here can only be moved in the guide vane closing and opening plane and does not allow the turning.
Example 4
On the basis of embodiment 1, in step S3, the method includes the sub-steps of:
s31, setting the distance between the center of the ith guide vane shaft hole of the bottom ring and the center of the leakage-stopping ring as riThen, there are:
Figure BDA0003589261030000212
s32, setting the chord length between the center of the ith-1 guide vane shaft hole and the center of the ith guide vane shaft hole in the bottom ring as liAnd the center of two adjacent shaft holes is alpha relative to the reference origin of the circle center of the leakage-stopping ringiThen, there are:
Figure BDA0003589261030000213
Figure BDA0003589261030000221
s33, it is found that the polar coordinate value (r) of the ith vane shaft hole center with respect to the origin of coordinatesi,γi) Comprises the following steps:
Figure BDA0003589261030000222
example 5
On the basis of embodiment 1, in step S4, the method includes the sub-steps of:
s41, setting the distance from the center of the ith guide vane shaft hole of the top cover to the center of the circle of the leakage stopping ring as RiThen, there are:
Figure BDA0003589261030000223
s42, setting the chord length between the center of the ith-1 st guide vane shaft hole and the center of the ith guide vane shaft hole in the top cover as LiAnd the center of two adjacent shaft holes has a central angle beta relative to the reference origin of the center of the leak-stopping ringiThen, there are:
Figure BDA0003589261030000224
Figure BDA0003589261030000225
s43, it is found that the polar coordinate value (R) of the ith vane shaft hole center with respect to the origin of coordinates (the center coordinates of the projected circle center of the leakage stop ring)i,λi) Comprises the following steps:
Figure BDA0003589261030000226
example 6
On the basis of embodiment 1, in step S5, the method includes the sub-steps of:
and S51, converting the projection circle center coordinates of each guide vane shaft hole of the middle bottom ring in the formula (4) into rectangular coordinate values, and then:
Figure BDA0003589261030000231
s52, converting the projection circle center coordinates of each guide vane shaft hole of the middle top cover in the formula (8) into rectangular coordinate values, and then:
Figure BDA0003589261030000232
s53, the concentricity of the leak-stopping ring after the top cover and the bottom ring are matched is 0, and the concentricity of the centers of the corresponding guide vane shaft holes is as follows:
Figure BDA0003589261030000233
in the above formula MiThe concentricity value refers to the concentricity value of the circle center of the ith guide vane shaft hole of the top cover bottom ring.
Example 7
On the basis of embodiment 1, in step S6, the method includes the sub-steps of:
s61, according to the expressions (4) and (8), in the case of the initial pairing of the top cover and the bottom ring in the step S5, the deviation of the polar angle value of each corresponding vane shaft hole center is set to be Δ θiThen, there are:
Δθi＝βi-αi (12)
setting the maximum value and the minimum value of the angle deviation values of the central polar coordinates of all the guide vane shaft holes calculated by the formula (12) as delta thetaMaxAnd Δ θMinThen, the angle δ for obtaining the rotation optimization of the top cover relative to the bottom ring is:
Figure BDA0003589261030000234
the concentricity value of the leak-stopping ring between the top cover and the bottom ring is still 0 at this moment, but the top cover has used the circle center of the leak-stopping ring as the center and has rotated the delta angle integrally, and the rectangular coordinate value of the circle center of each guide vane shaft hole of the top cover after the rotation is:
Figure BDA0003589261030000241
s62, assuming that after the rotation optimization of the top cover in the step S61, the corresponding deviation of the rectangular center coordinates of each corresponding guide vane shaft hole of the bottom ring of the top cover is respectively delta XiAnd Δ YiThen, there are:
Figure BDA0003589261030000242
the maximum value and the minimum value of the rectangular coordinate deviation values of the centers of all the guide vane shaft holes calculated by the formula (15) are respectively delta XMax、ΔXMin、ΔYMax、ΔYMinThen, obtaining the ideal translation coordinate value for optimizing the translation of the top cover relative to the bottom ring:
Figure BDA0003589261030000243
s63, if the concentricity tolerance of the top cover bottom ring leak-stopping ring is epsilon, the ideal translation distance in the formula (16) is firstly judged whether the concentricity tolerance value of the leak-stopping ring is exceeded;
when in use
Figure BDA0003589261030000244
The concentricity of the leakage-stopping ring and the concentricity of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover and the bottom ring are subjected to digital preassembly are calculated as follows:
Figure BDA0003589261030000245
in the above formula, K' is the concentricity value of the bottom ring of the top cover at this time, KiThe concentricity value of each corresponding guide vane shaft hole of the top cover bottom ring at the moment is obtained;
when in use
Figure BDA0003589261030000246
When the top cover is translated relative to the bottom ring, the top cover cannot move according to ideal translation coordinates, and the concentricity of the leakage-stopping ring must also be considered to be not beyond an allowable difference value; at this time, first, calculateDetermining an ideal translational orientation angle
Figure BDA0003589261030000251
Figure BDA0003589261030000252
According to an ideal translation direction angle and considering the tolerance value of the leakage stopping ring, the real movable coordinate value of the top cover relative to the bottom ring is obtained as follows:
Figure BDA0003589261030000253
at this time, the concentricity of the leakage-stopping ring and the concentricity value of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover bottom ring is subjected to digital preassembly are calculated as follows:
Figure BDA0003589261030000254
example 8
Based on embodiment 1, in step S6, the optimal pairing relationship of the top cover and the bottom ring with digital pre-installation means that the positions of the top cover and the bottom ring are adjusted to achieve the goal of minimizing the maximum concentricity deviation in the vane shaft hole under the premise of allowing deviation of the concentricity of the leakage-stopping ring.
Example 9
In addition to embodiment 4, in step S33, the origin of coordinates is the center coordinates of the projected circle center of the leak-stopping ring.
The parts not involved in the present invention are the same as or can be implemented using the prior art.
Other embodiments than the above examples may be devised by those skilled in the art based on the foregoing disclosure, or by adapting and using knowledge or techniques of the relevant art, and features of various embodiments may be interchanged or substituted and such modifications and variations that may be made by those skilled in the art without departing from the spirit and scope of the present invention are intended to be within the scope of the following claims.

Claims (9)

1. An optimal pairing method for digital preassembly of a water pump turbine top cover bottom ring is characterized by comprising the following steps:
s1, reversely measuring the planes and the cylindrical surfaces of the top cover and the bottom ring related to the judgment of the preassembly quality to obtain original measured data; then, calculating the measurement data to obtain basic data for pairing calculation;
s2, explaining and defining the optimal pairing relation of digital preassembly of the top cover and the bottom ring;
s3, using the projection center coordinate C of the leak-stopping ring of the bottom ringZ1(XZ1,YZ1,ZZ1) As the origin of coordinates, the center coordinates C of the projection circle of the leakage-stopping ringZ1(XZ1,YZ1,ZZ1) Circle center coordinate C projected with bottom ring 1# guide vane shaft holeX1(XX1,YX1,ZX1) The connecting line of the guide vane shaft hole is in the direction of + X axis, and the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole is calculated;
s4, using the center coordinate C of the leakage-stopping ring projection of the top coverZ2(XZ2,YZ2,ZZ2) As the origin of coordinates, the center coordinates C of the projection circle of the leakage-stopping ringZ2(XZ2,YZ2,ZZ2) Circle center coordinate C projected with top cover 1# guide vane shaft holeS1(XS1,YS1,ZS1) The connecting line of the guide vane shaft hole is in the direction of + X axis, and the polar coordinate value of the projection circle center coordinate of each guide vane shaft hole is calculated;
s5, superposing the projected circle center coordinates of the top cover and the bottom ring and the projected circle center coordinates of the corresponding No. 1 guide vane shaft hole in the step S3 and the step S4, and taking the superposed coordinates as the initial pairing position relationship after the top cover and the bottom ring are subjected to digital pre-installation, thereby calculating the concentricity values of the leakage-stopping ring and all guide vane shaft holes in the state;
and S6, the position adjustment between the top cover and the bottom ring is realized through two steps of rotation optimization and translation optimization according to the optimal pairing relation of digital preassembly of the top cover and the bottom ring in the step S2.
2. The method for optimally pairing the digital preassembly of the top cover and the bottom ring of the pump turbine as claimed in claim 1, wherein in the step S1, the method comprises the following substeps:
s11, according to the assembly constraint relation and the assembly quality inspection requirement of the water distributor, the cylindrical surface of the leakage-stopping ring, the sealing opening plane and the cylindrical surfaces of all guide vane shaft holes are measured actually when the bottom ring and the top cover are measured reversely; assuming that the number of shaft holes of the guide vanes of the top cover and the bottom ring is N, wherein the number of effective measuring points of the cylindrical surface of the leakage-stopping ring, the sealing opening plane and the cylindrical surface of each guide vane shaft hole is N, the real measuring point coordinates of the leakage-stopping ring are sequentially Q when the bottom ring is reversely measured11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) (ii) a The point coordinates of the bottom ring closed opening plane are S in sequence11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) (ii) a The coordinates of real measuring points of the bottom ring 1# guide vane shaft hole are P in sequence11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) (ii) a The coordinates of the actual measuring points of the 2# guide vane shaft hole are P in sequence21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) (ii) a In this way, the coordinates of the real measuring points of the Nth guide vane shaft hole are sequentially PN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn) (ii) a Similarly, the real measuring point coordinates of the leakage-stopping rings are sequentially Q when the top cover is reversely measured21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) (ii) a Point coordinates of top cover closed open planeIs S21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) (ii) a The coordinates of actual measuring points of the top cover 1# guide vane shaft hole are T in sequence11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) (ii) a The coordinates of the actual measuring points of the 2# guide vane shaft hole are T in sequence21(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) (ii) a And so on, the coordinates of the actual measuring points of the Nth guide vane shaft hole are sequentially TN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn)；
S12, sealing the bottom ring to open the gear plane measuring point coordinate S11(XS11,YS11,ZS11)、S12(XS12,YS12,ZS12)……S1n(XS1n,YS1n,ZS1n) Fitting into a plane N1 by a least square method; measuring point coordinate S of gear opening plane for sealing top cover21(XS21,YS21,ZS21)、S22(XS22,YS22,ZS22)……S2n(XS2n,YS2n,ZS2n) Fitting into a plane N2 by a least square method;
s13, measuring the real measuring point coordinate Q of the leakage-stopping ring when the bottom ring is reversely measured11(XQ11,YQ11,ZQ11)、Q12(XQ12,YQ12,ZQ12)……Q1n(XQ1n,YQ1n,ZQ1n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CZ1(XZ1,YZ1,ZZ1) (ii) a Real measuring point coordinate Q of leakage-stopping ring during reverse measurement of top cover21(XQ21,YQ21,ZQ21)、Q22(XQ22,YQ22,ZQ22)……Q2n(XQ2n,YQ2n,ZQ2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CZ2(XZ2,YZ2,ZZ2)；
S14, sequentially setting the coordinates P of the actual measuring points of the bottom ring 1# guide vane shaft hole11(XP11,YP11,ZP11)、P12(XP12,YP12,ZP12)……P1n(XP1n,YP1n,ZP1n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CX1(XX1,YX1,ZX1) 2# guide vane shaft hole real measuring point coordinate P21(XP21,YP21,ZP21)、P22(XP22,YP22,ZP22)……P2n(XP2n,YP2n,ZP2n) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CX2(XX2,YX2,ZX2) And so on, the coordinate P of the actual measuring point of the shaft hole of the Nth guide vaneN1(XPN1,YPN1,ZPN1)、PN2(XPN2,YPN2,ZPN2)……PNn(XPNn,YPNn,ZPNn) Projecting to the N1 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CXN(XXN,YXN,ZXN)；
S15, sequentially arranging the coordinates T of the actual measuring points of the guide vane shaft holes of the top cover 1#, and11(XT11,YT11,ZT11)、T12(XT12,YT12,ZT12)……T1n(XT1n,YT1n,ZT1n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS1(XS1,YS1,ZS1) Actual measurement point coordinate T of guide vane shaft hole 221(XT21,YT21,ZT21)、T22(XT22,YT22,ZT22)……T2n(XT2n,YT2n,ZT2n) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CS2(XS2,YS2,ZS2) And so on, the coordinate T of the actual measuring point of the Nth guide vane shaft holeN1(XTN1,YTN1,ZTN1)、TN2(XTN2,YTN2,ZTN2)……TNn(XTNn,YTNn,ZTNn) Projecting to the N2 plane, fitting into a circle by using least square method to obtain the coordinate of the center of the circle as CSN(XSN,YSN,ZSN)；
S16, arranging the basic data for digital pre-installation analysis after calculating the original measurement data of the bottom ring and the top cover in the steps S11-S14 as shown in the following table:
Figure FDA0003589261020000031
3. the method for optimally pairing the digital preassembly of the top cover and the bottom ring of the pump turbine as claimed in claim 1, wherein in the step S2, the method comprises the following substeps:
refining and summarizing the optimal matching relationship when the top cover and the bottom ring are pre-installed into the optimal comprehensive matching relationship of the corresponding guide vane shaft hole and the leakage stopping ring; according to the design requirements and the use working conditions of the water distributor, the comprehensive optimal matching relationship between the guide vane shaft holes and the leakage stopping rings is that the concentricity deviation value of the holes with the maximum concentricity deviation in all the guide vane shaft holes is minimized after position adjustment under the tolerance value of the concentricity of the leakage stopping rings of the top cover bottom ring; the adjustment here can only be moved in the guide vane closing and opening plane and does not allow the turning.
4. The method for optimally pairing the digital preassembly of the top cover and the bottom ring of the pump turbine as claimed in claim 1, wherein in the step S3, the method comprises the following substeps:
s31, setting the distance between the center of the ith guide vane shaft hole of the bottom ring and the center of the leakage-stopping ring as riThen, there are:
Figure FDA0003589261020000041
s32, setting the chord length between the center of the ith-1 guide vane shaft hole and the center of the ith guide vane shaft hole in the bottom ring as liAnd the center of two adjacent shaft holes is opposite to the reference origin of the center of the leak-stopping ring, and the central angle of the reference origin is alphaiThen, there are:
Figure FDA0003589261020000042
Figure FDA0003589261020000043
s33, it is found that the polar coordinate value (r) of the ith vane shaft hole center with respect to the origin of coordinatesi,γi) Comprises the following steps:
Figure FDA0003589261020000044
5. the method for optimally pairing the digital preassembly of the top cover and the bottom ring of the pump turbine as claimed in claim 1, wherein in the step S4, the method comprises the following substeps:
s41, setting the distance from the center of the ith guide vane shaft hole of the top cover to the circle center of the leakage-stopping ring as RiThen, there are:
Figure FDA0003589261020000045
s42, setting the center between the ith-1 st guide vane shaft hole center and the ith guide vane shaft hole center in the top coverA chord length of LiAnd the center of two adjacent shaft holes has a central angle beta relative to the reference origin of the center of the leak-stopping ringiThen, there are:
Figure FDA0003589261020000051
Figure FDA0003589261020000052
s43, it is found that the polar coordinate value (R) of the ith vane shaft hole center with respect to the origin of coordinates (the projected circle center coordinates of the leak stopping ring)i,λi) Comprises the following steps:
Figure FDA0003589261020000053
6. the method for optimally pairing the digital preassembly of the top cover and the bottom ring of the pump turbine as claimed in claim 1, wherein in the step S5, the method comprises the following substeps:
and S51, converting the projection circle center coordinates of each guide vane shaft hole of the middle bottom ring in the formula (4) into rectangular coordinate values, and then:
Figure FDA0003589261020000054
s52, converting the projection circle center coordinates of each guide vane shaft hole of the middle top cover in the formula (8) into rectangular coordinate values, and then:
Figure FDA0003589261020000055
s53, the concentricity of the leak-stopping ring after the top cover and the bottom ring are matched is 0, and the concentricity of the centers of the corresponding guide vane shaft holes is as follows:
Figure FDA0003589261020000056
in the above formula MiThe concentricity value refers to the concentricity value of the circle center of the ith guide vane shaft hole of the top cover bottom ring.
7. The method for optimally pairing the digital preassembly of the top cover and the bottom ring of the pump turbine as claimed in claim 1, wherein in the step S6, the method comprises the following substeps:
s61, according to the expressions (4) and (8), in the case of the initial pairing of the top cover and the bottom ring in the step S5, the deviation of the polar angle value of the center of each corresponding vane shaft hole is defined as Δ θiThen, there are:
Δθi＝βi-αi (12)
setting the maximum value and the minimum value of the angle deviation values of the central polar coordinates of all the guide vane shaft holes calculated by the formula (12) as delta thetaMaxAnd Δ θMinThen, the angle δ for obtaining the rotation optimization of the top cover relative to the bottom ring is:
Figure FDA0003589261020000061
the concentricity value of the leak-stopping ring between the top cover and the bottom ring is still 0 at this moment, but the top cover has used the circle center of the leak-stopping ring as the center and has rotated the delta angle integrally, and the rectangular coordinate value of the circle center of each guide vane shaft hole of the top cover after the rotation is:
Figure FDA0003589261020000062
s62, assuming that after the rotation optimization of the top cover in the step S61, the corresponding deviations of the coordinates of the centers of the right angles of the centers of the right angles of the corresponding vane shaft holes of the bottom ring of the top cover are respectively delta XiAnd Δ YiThen, there are:
Figure FDA0003589261020000063
the maximum value and the minimum value of the rectangular coordinate deviation values of the centers of all the guide vane shaft holes calculated by the formula (15) are respectively delta XMax、ΔXMin、ΔYMax、ΔYMinThen, obtaining the ideal translation coordinate value for optimizing the translation of the top cover relative to the bottom ring:
Figure FDA0003589261020000064
s63, if the concentricity tolerance of the top cover bottom ring leak-stopping ring is epsilon, the ideal translation distance in the formula (16) is firstly judged whether the concentricity tolerance value of the leak-stopping ring is exceeded;
when in use
Figure FDA0003589261020000065
The concentricity of the leakage-stopping ring and the concentricity of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover and the bottom ring are subjected to digital preassembly are calculated as follows:
Figure FDA0003589261020000071
in the above formula, K' is the concentricity value of the bottom ring of the top cover at this time, KiThe concentricity value of each corresponding guide vane shaft hole of the top cover bottom ring at the moment is obtained;
when in use
Figure FDA0003589261020000072
When the top cover is translated relative to the bottom ring, the top cover cannot move according to ideal translation coordinates, and the concentricity of the leakage-stopping ring must also be considered to be not beyond an allowable difference value; in this case, the ideal translation direction angle is firstly calculated and determined
Figure FDA0003589261020000073
Figure FDA0003589261020000074
According to an ideal translation direction angle and considering the tolerance value of the leakage stopping ring, the real movable coordinate value of the top cover relative to the bottom ring is obtained as follows:
Figure FDA0003589261020000075
at this time, the concentricity of the leakage-stopping ring and the concentricity value of the corresponding guide vane shaft hole under the optimal pairing relationship after the top cover bottom ring is subjected to digital preassembly are calculated as follows:
Figure FDA0003589261020000076
8. the method of claim 1, wherein in step S6, the top cover and the bottom ring are pre-assembled in an optimal matching relationship, that is, the concentricity of the leak-stopping ring is adjusted to the minimum value of the maximum concentricity deviation in the shaft hole of the guide vane on the premise of allowing the deviation.
9. The method for optimally pairing the digital preassembly of the top cover and the bottom ring of the pump turbine as claimed in claim 4, wherein in step S33, the origin of coordinates is the projected circle center coordinates of the leakage stop ring.
CN202210372264.4A 2022-04-11 2022-04-11 Optimal pairing method for digital preassembling of bottom ring of top cover of water pump turbine Active CN114662334B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202210372264.4A CN114662334B (en) 2022-04-11 2022-04-11 Optimal pairing method for digital preassembling of bottom ring of top cover of water pump turbine

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202210372264.4A CN114662334B (en) 2022-04-11 2022-04-11 Optimal pairing method for digital preassembling of bottom ring of top cover of water pump turbine

Publications (2)

Publication Number Publication Date
CN114662334A true CN114662334A (en) 2022-06-24
CN114662334B CN114662334B (en) 2023-09-05

Family

ID=82036166

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202210372264.4A Active CN114662334B (en) 2022-04-11 2022-04-11 Optimal pairing method for digital preassembling of bottom ring of top cover of water pump turbine

Country Status (1)

Country Link
CN (1) CN114662334B (en)

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109341533A (en) * 2018-11-07 2019-02-15 哈尔滨电机厂有限责任公司 A kind of process measuring seat ring wire hole
CN113932680A (en) * 2021-09-07 2022-01-14 华能澜沧江水电股份有限公司 Calculation and adjustment method for vertical water turbine top cover installation center

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109341533A (en) * 2018-11-07 2019-02-15 哈尔滨电机厂有限责任公司 A kind of process measuring seat ring wire hole
CN113932680A (en) * 2021-09-07 2022-01-14 华能澜沧江水电股份有限公司 Calculation and adjustment method for vertical water turbine top cover installation center

Also Published As

Publication number Publication date
CN114662334B (en) 2023-09-05

Similar Documents

Publication Publication Date Title
CN110119553B (en) Matching optimization method for rotor parts of aero-engine connected by spigot
CN109884988A (en) A kind of drilling normal direction interpolation modification method of five-shaft numerical control drilling lathe
CN112817271A (en) Method for optimizing machining allowance of casting case blank based on-machine measurement
CN114662334A (en) Optimal pairing method for digital preassembly of top cover and bottom ring of water pump turbine
Chatelain A level-based optimization algorithm for complex part localization
CN112078829B (en) Precise docking coordination method for carrier rocket sections
CN108832850B (en) Optimal dispersion robust control method for four-motor servo system
CN108846196B (en) Transmission precision optimization design method of 2K-V type precision speed reducer
Sun et al. Repair decision based on sensitivity analysis for aero-engine assembly
CN109344448B (en) fuzzy-FQD-based helical bevel gear shape collaborative manufacturing optimization method
Li et al. An integration method of design and machining for spiral bevel gears based on universal CNC machine tools
CN115114749A (en) Template, flow and automatic model design method for pipeline system
CN109746495B (en) Four-petal seat ring single-petal machining alignment process method
CN109029326B (en) Method for rapidly calculating installation clearance of two sections of shafts
CN110449489B (en) Shape correction device and shape correction method suitable for piston baffle ring in spacecraft valve
CN117390788A (en) Method for determining digital preassembled optimal gear opening value of water guide mechanism of water pump turbine
Huang et al. Investigation on high contact ratio harmonic two-dimensional tooth profile design based on mid-point meshing method
CN208513996U (en) The camshaft hole of pressurized-water reactor nuclear power plant Emergency diesel body repairs structure
CN112577454B (en) Method for measuring key machining error of pin gear shell of cycloidal pin gear speed reducer for robot
CN109164757A (en) A kind of wisdom fuel gas network builds system
CN116702594A (en) Tolerance distribution multi-target model parameter fusion optimization method and system
CN112964210A (en) Method for rapidly evaluating free comprehensive installation error of flange hole system
CN112317769B (en) Different-axis machining conversion device and method
CN109883375B (en) Accurate installability evaluation method of two-section hole based on equal-precision principle
CN115659097A (en) Coaxiality regulating and controlling model for multistage rotor stacking assembly and coaxiality stacking method for high-speed rotation equipment

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant